document.write( "Question 173310: How would I solve for (x+8)^2 -7= -12 \r
\n" ); document.write( "\n" ); document.write( "since you can't have the square root of a negetive number?
\n" ); document.write( "

Algebra.Com's Answer #128139 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
\r
\n" ); document.write( "\n" ); document.write( "\"%28x%2B8%29%5E2-7=-12\" Start with the given equation.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%28x%2B8%29%5E2=-12%2B7\"Add \"7\" to both sides.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%28x%2B8%29%5E2=-5\" Combine like terms.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x%2B8=0%2B-sqrt%28-5%29\" Take the square root of both sides.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x%2B8=sqrt%28-5%29\" or \"x%2B8=-sqrt%28-5%29\" Break up the \"plus/minus\" to form two equations.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x%2B8=sqrt%28-1%2A5%29\" or \"x%2B8=-sqrt%28-1%2A5%29\" Factor -5 into -1*5\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x%2B8=sqrt%28-1%29%2Asqrt%285%29\" or \"x%2B8=-sqrt%28-1%29%2Asqrt%285%29\" Break up the square root.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x%2B8=i%2Asqrt%285%29\" or \"x%2B8=-i%2Asqrt%285%29\" Replace \"sqrt%28-1%29\" with \"i\". Note: \"i=sqrt%28-1%29\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x=-8%2Bi%2Asqrt%285%29\" or \"x=-8-i%2Asqrt%285%29\" Subtract \"8\" from both sides.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "--------------------------------------\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Answer:\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So the solutions are \"x=-8%2Bi%2Asqrt%285%29\" or \"x=-8-i%2Asqrt%285%29\".
\n" ); document.write( "
\n" ); document.write( "
\n" );